{
  "id": "math/0304259",
  "version": "v1",
  "published": "2003-04-18T19:13:03.000Z",
  "updated": "2003-04-18T19:13:03.000Z",
  "title": "Mass and 3-metrics of non-negative scalar curvature",
  "authors": [
    "Robert Bartnik"
  ],
  "journal": "Proceedings of the ICM, Beijing 2002, vol. 2, 231--240",
  "categories": [
    "math.DG",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Physicists believe, with some justification, that there should be a correspondence between familiar properties of Newtonian gravity and properties of solutions of the Einstein equations. The Positive Mass Theorem (PMT), first proved over twenty years ago \\cite{SchoenYau79b,Witten81}, is a remarkable testament to this faith. However, fundamental mathematical questions concerning mass in general relativity remain, associated with the definition and properties of quasi-local mass. Central themes are the structure of metrics with non-negative scalar curvature, and the role played by minimal area 2-spheres (black holes).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-04-18T19:13:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C99",
      "83C57"
    ],
    "keywords": [
      "non-negative scalar curvature",
      "properties",
      "fundamental mathematical questions concerning mass",
      "general relativity remain",
      "black holes"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......4259B"
    }
  }
}